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312334104440 = 23589673130363
BaseRepresentation
bin1001000101110001001…
…00000011011101111000
31002212012002201110020002
410202320210003131320
520104130012320230
6355252335452132
731364634040451
oct4427044033570
91085162643202
10312334104440
11110507506546
1250648087048
13235b7272467
141118d290128
1581d0428545
hex48b8903778

312334104440 has 64 divisors (see below), whose sum is σ = 711709221600. Its totient is φ = 123345395712.

The previous prime is 312334104427. The next prime is 312334104473. The reversal of 312334104440 is 44401433213.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2330699 + ... + 2461061.

Almost surely, 2312334104440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312334104440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355854610800).

312334104440 is an abundant number, since it is smaller than the sum of its proper divisors (399375117160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312334104440 is a wasteful number, since it uses less digits than its factorization.

312334104440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131136 (or 131132 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 312334104440 its reverse (44401433213), we get a palindrome (356735537653).

The spelling of 312334104440 in words is "three hundred twelve billion, three hundred thirty-four million, one hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 673 712 890 1346 1780 2692 3365 3560 5384 6730 13460 26920 59897 119794 130363 239588 260726 299485 479176 521452 598970 651815 1042904 1197940 1303630 2395880 2607260 5214520 11602307 23204614 46409228 58011535 87734299 92818456 116023070 175468598 232046140 350937196 438671495 464092280 701874392 877342990 1754685980 3509371960 7808352611 15616705222 31233410444 39041763055 62466820888 78083526110 156167052220 312334104440